2169671616 has 224 divisors, whose sum is σ = 7337308160. Its totient is φ = 615859200.

The previous prime is 2169671611. The next prime is 2169671629. The reversal of 2169671616 is 6161769612.

2169671616 is a `hidden beast` number, since 21 + 6 + 9 + 6 + 7 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2169671611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188881 + ... + 2189871.

It is an arithmetic number, because the mean of its divisors is an integer number (32755840).

Almost surely, 2^2169671616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2169671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668654080).

2169671616 is an abundant number, since it is smaller than the sum of its proper divisors (5167636544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2169671616 is a wasteful number, since it uses less digits than its factorization.

2169671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1184 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 2169671616 is about 46579.7339623146. The cubic root of 2169671616 is about 1294.5872809113.

The spelling of 2169671616 in words is "two billion, one hundred sixty-nine million, six hundred seventy-one thousand, six hundred sixteen".